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Leviafan [203]
4 years ago
14

Will ran the diagonal distance across a square field measuring 40 yards on each side. James Ran the diagonal distance across A r

ectangular field with a length of 25 yards and a width of 35 grand in longer distances in how much longer TV show
Mathematics
1 answer:
ozzi4 years ago
4 0

Answer:

<u>Will</u> ran the longer distance.

He run <u>56.40 yards</u> longer distance.

Step-by-step explanation:

<u><em>The question is incorrect so the correct question is below.</em></u>

Will ran the diagonal distance across a square field measuring 40 yards on each side. James ran the distance across a rectangular field with a length of 25 yards and a width of 35 yards. Who ran a longer distance,and how much longer did he run?

Now, to find the person who ran longer distance and the distance he run.

Will ran the diagonal distance across a square field.

The length of square field = 40 yards.

So, we put formula to get the diagonal of square:

Diagonal=length\sqrt{2}

Diagonal=40\times \sqrt{2}

Diagonal=40\times 1.41

Diagonal=56.40\ yards.

Thus, Will ran 56.40 yards diagonal distance of the square field.

Now, James ran the distance across a rectangular field with a length of 25 yards and a width of 35 yards.

So, to get the diagonal of rectangular field we use pythagorean theorem:

Diagonal^2=length^2+width^2

Diagonal^2=25^2+35^2

Diagonal^2=625+1225

Diagonal^2=1850

<em>Using square root on both sides we get:</em>

Diagonal=43.01\ yards.

Hence, James ran the diagonal distance 43.01 yards across the rectangular field.

<em>Now, we see the diagonal distance of both Will and James.</em>

<em>As, Will ran 56.40 yards and James ran 43.01 yards.</em>

<em>So, Will ran longer distance than James. And he run 56.40 yards</em>.

Therefore, Will ran the longer distance.

He run 56.40 yards longer distance.

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